possible solution for the current processing game logic bug appearing while trying entering Apex legends.
First start another EA game to connect your PSN Account to the EA servers f.e. FIFA 19-21, Battlefield etc.
After your account is logged in to the ea servers close the current game, you used to log in and start Apex Legends. Now you shouldn’t have further problems with proceeding game process logic bugs and the game should start.
Hopefully it works on your platform!